Recent Trends in Dynamics 2003

 

 

 

 

List of abstracts

Updated July 9, 2003

 

 

Global dominated splittings and the C1 Newhouse phenomenon

F. Abdenur (IMPA, Brazil)

 

Patterns and minimal dynamics for graph maps

L. Alsedà (Univ. Aut. Barcelona, Spain)

 

Hausdorff dimension and analytic families of unimodal maps

A. Avila (Collège de France)

 

Statistical properties of a skew product with a fixed curve of non hyperbolic points

V. Baladi (Inst. Math. Jussieu, France)

 

Product structure and Poincaré recurrence

L. Barreira (IST, Portugal)

 

Invariants of sets of matrices

J. Bochi (IMPA, Brazil)

 

The hierarchy of integrability in nonholonomic

A.V. Borisov (Inst. Computer Science, Russia)

 

Renormalization for certain interval translation maps

H. Bruin (Univ. Groningen, Nederlands)

 

Brower degree and the averaging method

A. Buica (CRM, Spain)

 

Recurrence of C1-generic diffeomorphisms

S. Crovisier (Univ. Paris-Sud, France)

 

Bifurcation of Unimodal Maps

W. de Melo (IMPA, Brazil)

 

Homoclinic classes and periodic points

L.J. Díaz (PUC-Rio, Brazil)

 

Recent developments on ergodic and non-ergodic geodesic flows on surfaces

V. Donnay (Bryn Mawr College, USA)

 

Actions of lattices on low-dimensional manifolds

J. Franks (Northwestern Univ., USA)

 

Absolutely continuous invariant measures for random maps with position dependent probabilities

P. Gora (Concordia Univ., Canada)

 

Hyperbolicity and homoclinic bifurcations generating nonhyperbolic dynamics

S. Hayashi (Univ. Tokyo, Japan)

 

Multiple homoclinic orbits in conservative and reversible systems

A. Homburg, (Univ. Amsterdam, Netherlands)

 

A topological characterization of Ω-limit sets for continuous flows on surfaces

V. Jimenez (Univ. Murcia, Spain)

 

Old and new on averaging

Y. Kifer (Hebrew Univ., Israel)

 

Reducible or chaotic behavior for quasi-periodic Schrodinger cocycles: non-perturbative results

R. Krikorian (École Polytechnique, France)

 

Newhouse regions for reversible systems with infinitely many stable, unstable and elliptic periodic orbits

J. Lamb (Imperial College, UK)

 

Contracible periodic points for Hamiltonian homeomorphisms of surfaces

P. Le Calvez (Univ. Paris 13, France)

 

Billiards with a non-compact cusp

M. Lenci (Stevens Inst. Tech., USA)

 

The inverse integrating factor and applications

J. Llibre (Univ. Autónoma de Barcelona, Spain)

 

C* algebras, thermodinamical formalism and Mather measures

A. Lopes (UFRGS, Brazil)

 

Topological invariance of generic non-uniformly expanding multimodal maps

S. Luzzatto (Imperial College, UK)

 

Algebraic structure of the dynamics of point vortices on a plane and a sphere

I.S. Mamaev (Inst. Computer Science, Russia)

 

On the cohomological equation for interval exchange maps

S. Marmi (Scuola Normale Superiore, Italy)

 

Hénon Renormalization

M. Martens (Univ. Groningen, Nederlands)

 

Abundance of stable ergodicity

C. Matheus (IMPA, Brazil)

 

Hausdorff dimension and analytic families of unimodal maps II

C. G. Moreira (IMPA, Brazil)

 

Stratified transversality via one parameter groups

C. Murolo (Univ. Provence, France)

 

Equilibrium states for some non-uniformly expanding maps

K. Oliveira (UFAL, Brazil)

 

Robustly expansive homoclinic classes

M. J. Pacífico (UFRJ, Brazil)

 

Dynamics of the discretized FitzHugh-Nagumo equation

Ya. Pesin (Penn State University, USA)

 

Fourier dimension of Cantor sets

M. Pollicott (Univ. Manchester)

 

Uniform hyperbolicity of periodic points accumulating homoclinic tangencies

I. Rios (UFF, Brazil)

 

Sil'nikov homoclinic orbits in generic 3-unfoldings of the nilpotent singularity

J. A. Rodriguez (Univ. Oviedo, Spain)

 

A multifractal analysis of recurrence in conformal repellers

B. Saussol (Univ. Picardie, France)

 

Equilibrium states for S-unimodal maps

S. Senti (Penn State Univ., USA)

 

Pair correlations of closed geodesics

R. Sharp (Univ. Manchester, UK)

 

Linear Programming, Dynamical Systems and Integral Geometry

M. Shub (IBM, USA)

 

Equidistribution for Correspondences and Holomorphic Transform

N. Sibony (Univ. Paris-Sud, France)

 

Renormalization and topological invariants of 2-pcm-maps of the interval

L. Silva (Univ. Évora, Portugal)

 

The Hopf-saddle-node for 3D diffeomorphisms

C. Simó (Univ. Barcelona, Spain)

 

Recent Progress on Renormalization Theory

D. Smania (USP, Brazil)

 

Limit laws and recurrence for the planar Lorentz process

D. Szász (Univ. Budapest, Hungary)

 

Continuity of entropy via induced maps

A.Tahzibi (USP, Brazil)

 

Mather measures and the Bowen-Series transformation

P. Thieullen (Univ. Paris-Sud, France)

 

Evolution of measures in the phase space of a nonlinear dynamical system

D. Treschev (Lomonosov Moscow State Univ., Russia)

 

Convex Dynamics: Dynamical systems with deep mathematical and technological roots

C. Tresser (IBM, USA)

 

Separating a mixture of a large number of chaotic signals and noise

P. Vaidya (National Institute of Advanced Studies, India)

 

Statistical stability for diffeomorphisms with dominated splitting

C. Vásquez (CMUP, Portugal / USACH, Chile)

 

Homoclinic tangencies and fractal invariants

M. Viana (IMPA, Brazil)

 

Round handle decomposition of S2xS1

P. Vindel (Univ. Jaime I, Spain)

 

Remarkable Dynamics of an Over-compensatory Leslie Population Model

H. Weiss (Penn State Univ., USA)